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Finding the Third Proportional to 398,234 and 859,801

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Solution

The third proportional to 398,234 and 859,801 is: 1,856,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,234 : 859,801 = 859,801 : x
  2. Step 2: Convert to fraction form
    398,234/859,801 = 859,801/x
  3. Step 3: Cross multiply
    398,234x = 859,801 × 859,801
  4. Step 4: Simplify right side
    398,234x = 739,257,759,601
  5. Step 5: Solve for x
    x = 739,257,759,601/398,234
  6. Step 6: Final answer
    x = 1,856,340.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.